Shared Flashcard Set

Details

Title

Combining Exponents

Description

Rules for combining exponents

Total Cards

Subject

Mathematics

Level

Undergraduate 1

Created

08/09/2020

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Additional Mathematics Flashcards

Term

a^maⁿ

Definition

a^m+n

Example: a²a³ = (a·a)(a·a·a) = a⁵

Term

a^m / aⁿ

Definition

a^m-n

Example: a³a² = (a·a·a) / (a·a) = a = a^3-2

Term

(a^m)ⁿ

Definition

a^mn

Example: (a³)² = (a·a·a)(a·a·a) = a⁶

Term

(ab)ⁿ

Definition

aⁿbⁿ

Example: (ab)³ = (a·b)(a·b)(a·b) = a³b³

Term

(a/b)ⁿ

Definition

aⁿ/bⁿ = aⁿb^-n

Example: (a/b)² = (a/b)(a/b) = a²/b² = a²b^-2